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Finding the Third Proportional to 191,653 and 407,889

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Solution

The third proportional to 191,653 and 407,889 is: 868,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,653 : 407,889 = 407,889 : x
  2. Step 2: Convert to fraction form
    191,653/407,889 = 407,889/x
  3. Step 3: Cross multiply
    191,653x = 407,889 × 407,889
  4. Step 4: Simplify right side
    191,653x = 166,373,436,321
  5. Step 5: Solve for x
    x = 166,373,436,321/191,653
  6. Step 6: Final answer
    x = 868,097.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.